Concurrent Adaptive Mass-Conserving Comminution of Granular Materials Using Rigid Elements

Cola, Francesco De; Bombace, Nicola; Falco, S.; Petrinić, Nik

doi:10.1007/978-981-10-1926-5_119

Cited by 1 publication

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“…Compared with the first two variants that have only limited control over the shape and size of the cells, the Laguerre–Voronoi formulation imposes constraints on the initial state [ 5 ], thus allowing the formulation of the tessellation to be modified more deeply. The Laguerre–Voronoi formulation can be used to model a wider range of grain structures (e.g., metals [ 7 ], foams [ 8 ], and granular matter [ 9 ]).…”

Section: Introductionmentioning

confidence: 99%

Modeling of Polycrystalline Material Microstructure with 3D Grain Boundary Based on Laguerre–Voronoi Tessellation

et al. 2022

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Voronoi tessellations are shown to be statistically representative of polycrystalline microstructures, which have been widely accepted for the modeling of microstructures of metallurgic and ceramic materials. In this paper, a new implementation of the Voronoi diagram in Laguerre geometry is presented for the generation of numerical models of polycrystalline microstructures, where the size and shape of the grains can be controlled, and the 3D grain boundaries can be modeled with a specified thickness. The distribution of grain sizes in the models is fitted to a lognormal distribution, compared with the normal distribution in the Voronoi tessellation methods. Finally, statistical analyses of grain face and grain size distribution are performed with the models, and the macroscopic elastic properties of polycrystalline ceramic materials are simulated to verify the capability of the presented method.

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